For more information about this meeting, contact Stephen Simpson.

Title: | Randomized models and continuous logic |

Seminar: | Department of Mathematics Colloquium |

Speaker: | H. Jerome Keisler, University of Wisconsin |

Abstract: |

Intuitively, a randomization of a mathematical structure M is a new
structure whose elements are random elements of M. In many cases, the
random elements of M have properties analogous to those of the
original elements of M. For example, a randomization of the ordered
field R of real numbers is a structure whose elements are random reals
-- measurable functions from some underlying probability space into
R. Similarly, one can form randomizations of any other structure, such
as the ring of integers, the field of complex numbers, a group, a
Boolean algebra, or a directed graph. Moral of this lecture: In an
extremely general setting, many properties are preserved by the
operation of randomization. Some of the work is joint with Itai Ben
Yaacov. |

### Room Reservation Information

Room Number: | MB114 |

Date: | 04 / 15 / 2010 |

Time: | 04:00pm - 05:00pm |